Write each of the following expressions without using absolute value. |z−7|−|z−9|, if z<7

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

z - 7 ≥ 0

z ≥ 7

| z - 7 | = z - 7, z ≥ 7

| z - 7 | = -z + 7, z < 7

z - 9 ≥ 0

z ≥ 9

| z - 9 | = z - 9, z ≥ 9

| z - 9 | = -z + 9, z < 9

| z - 7 | = -z + 7

| z - 9 | = -z + 9

|z - 7| - |z - 9|

-z + 7 - (-z + 9)

-z + 7 + z - 9

= -2


Related Questions

Drag numbers to the table so it shows a proportional relationship between x and y.

PLEASE HELP

Answers

Answer:

See below ~

Step-by-step explanation:

Finding the proportionality constant, k :

y = kxTake the point (0.5, 3)3 = 0.5kk = 6

Table :

[tex]\left[\begin{array}{ccc}0.5&3\\1.5&9\\4.5&27\end{array}\right][/tex]

PLS help i will give you 26 points and brainly pls i need this for tomorrow i don't understand the question that i left blank. It Math thanks. :)

Answers

Answer:

145 is the outlier

Step-by-step explanation:

When compared to the other values, 145 is an exceeding highly value. Hence, it can be considered an outlier in the data set.

PLEASE SOLVE FOR X AND Y!!!! I WILL MARK BRAINLIEST!!!!

Answers

opposite sides and diagonals of a parallelogram are equal

+ diagonals of a parallelogram meet eachother in the middle so:

10x+14=x+77

10x-x=77-14

9x=63

x=63÷9

x= 7

y+8=4y-19

y-4y=-19-8

-3y=-27

y=-27÷-3

y=9

2z+3=37

2z=37-3

2z=34

z=34÷2

z=17

4^3 times 4^? = 4^-3. what number is ?

Answers

Answer:

x = -6

Step-by-step explanation:

Let[tex] \: 4^3\times 4^{x}=4^{-3}[/tex]

[tex] \implies 4^{3+x}=4^{-3}[/tex]

[tex] \implies {3+x}= {-3}[/tex]

[tex] \implies {x}= {-3-3}[/tex]

[tex] \implies {x}= {-6}[/tex]

[tex] \implies\huge{\red{ 4^3\times 4^{-6}=4^{-3}}}[/tex]

If 35 boxes equals to 21 dollars in total, how much does each box cost?

Answers

let b be number of boxes

35b = 21
b = 0.6

each box cost -> $0.60
1 box = 21/35 = 0.60

So 1 box is basically $0.60 yeah

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)? x 2 x – 2 x – 8 x 8

Answers

The quotient of the given expression is x-2. The correct option is the second option-  x – 2

Simplification of fractions

From the question, we are to determine the quotient

The given expression is

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex]

The numerator can be expressed as

[tex](x-2)(x^{2} +5x+6)[/tex]

Then, the fraction becomes

[tex]\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}[/tex] = [tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}[/tex]

Simplifying

[tex]\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2[/tex]

Hence, the quotient of the given expression is x-2. The correct option is the second option-  x – 2

Learn more on Simplification of fractions here: https://brainly.com/question/26496816

Here is the complete and correct question:

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8

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8x+21=3 need the answer please

Answers

Answer:

[tex]x=-\frac{9}{4}[/tex]

Step-by-step explanation:

Step 1:  Subtract 21 from both sides

[tex]8x + 21 = 3[/tex]

[tex]8x + 21 - 21 = 3 - 21[/tex]

[tex]8x = -18[/tex]

Step 2:  Divide 8 from both sides

[tex]8x = -18[/tex]

[tex]\frac{8x}{8}=-\frac{18}{8}[/tex]

[tex]x=-\frac{9}{4}[/tex]

Answer:  [tex]x=-\frac{9}{4}[/tex]

Explain how you would graph the inequality, "b ≤ 0

Answers

Answer:

the inequality, b ≤ 0 has interval Notation of -∞,0

Step-by-step explanation:

the inequality, b ≤ 0 has interval Notation of -∞,0

in how many ways can 4 people be seated in a row of 12 chairs​

Answers

Answer:

11,880.

Step-by-step explanation:

This is given by the number of permutations of 4 from 12

= 12P4

= 12!/(12-4)!

= 12!/8!

=  (12*11*10*9*8*7*6*5*4*4*2*1) / (8*7*6*5*4*4*2*1)

= 12^11*10*9

= 11,880.

I need help asap please

Answers

When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.

How to illustrate the probability?

Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:

= $3300 - $429

= $2871

In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.

Learn more about probability on:

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please help!!!
Find an equation for this graph.

Answers

y=3(sin)pie over 4 +2

Two similar spheres have a scale factor of 2:5. What is the ratio of their surface areas?

Answers

Answer:

4:25

Step-by-step explanation:

Sphere surface area = 4 pi r^2  

   now change r to 2.5 r  ( to maintain the 2:5 ratio)

   area2 = 4 pi (2.5 r)^2 =     6.25    *    4 pi r^2

    so ratio of surface areas is  1 : 6.25   = 4:25

If two similar spheres have a scale factor of 2:5. Then the ratio of their surface areas will be 4 / 25.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Two similar spheres have a scale factor of 2:5.

Let the r₁ and r₂ be the radius of the spheres. Then we have

r₁ / r₂ = 2 / 5

Then the surface area of the sphere is given as

Surface area = 4πr²

Then the ratio of their surface areas will be

[tex]\rightarrow \dfrac{4\pi r_1^2 }{4\pi r_2^2} = \left (\dfrac{r_1}{r_2} \right )^2[/tex]

Then we have

→ (2 / 5)²

→ 4 / 25

More about the geometry link is given below.

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Find the dependent value
for the graph
y = 12 + 5x
when the independent value is 3.
y = [?]

Answers

Answer:

Y = 27

Step-by-step explanation:

In the equation (y = 12 + 5x) the X is the independent value. When you replace this by 3 you will multiply 3*5 which will give you 15 and then you will want to add 12 as that is your y intercept. Giving the value of your Y a 27, or the point would be (3,27)

Find the amount of sheet metal needed to form a conical funnel of base radius 30 cm and vertical height 50 cm, allowing for a 0.5 cm overlap at the join

Answers

The amount of sheet metal needed to form the conical funnel is 5525 cm²

How to determine the amount of sheet?

The given parameters are:

Radius, r = 30 cmVertical height, h = 50 cmOverlap = 0.5 cm

Start by calculating the slant height (l) of the cone using:

l = √(r² + h²)

This gives

l = √(30² + 50²)

Evaluate

l = 58.31

The lateral surface area of the conical funnel including the overlap is then calculated as:

A = πrl + Overlap * l

This gives

A = 3.142 * 30 * 58.31 + 0.5 * 58.31

Evaluate

A = 5525.4556

Approximate

A = 5525

Hence. the amount of sheet metal needed is 5525 cm²

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PLEASE HELP WILL GIVE BRAINLEST!

Answers

Answer:

5[tex]\pi[/tex]/12 rad

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

75(π/180) = 5π/12 radians

arc length = central angle (2πr)

360

measure of the inscribed angle = 75º

measure of the central angle = 150º

arc length = 150 (2π1000)

360

arc length = (5/12)

Complete the sentence.
------- is 4 times as much as 9.

Answers

Answer:

36

Step-by-step explanation:

4 x 9 = 36

36 / 4 = 9

Therefore, 36 is 4 times as much as 9.

[tex]{\sf Hello!}[/tex]

The answer is 36

⇢ 4 × 9 = 36

PLS ANSWER FAST TYYYYYSMMM!!!

Answers

Answer:

option 3, [tex]972\pi in^{3}[/tex]

Step-by-step explanation:

The formula to find the volume of a sphere is [tex]\frac{4}{3} \pi r^{3}[/tex]

where r os the radius

given: diameter = 18in

radius = diameter / 2

radius = 18 / 2

r = 9in

Plug in radius:

[tex]\frac{4}{3} \pi (9)^{3}\\\\\frac{4\pi (9)^{3}}{3} \\\\Factor (9)^{3}: (3)^{6}\\\\\frac{(3)^{6} * 4\pi }{3} \\\\[/tex]

cancel common factor: 3

[tex]3^{5} * 4\pi \\3^{5} = 243\\243 * 4\pi\\972\pi[/tex]

Let me know if you have any questions !

hey guys. question posted in the picture. will award brainliest.

Answers

Answer:

x=80

that is because a straight angle value is 180 and that angle is already 100 sooo i guess you get the point

I need this done fast please​

Answers

hope this helps :)

............

A cube has a surface area of 486 inches square. Can the length of each side of the cube be 11 inches? Explain

Answers

Answer:

The volume of cube whose total surface area is 486 cm² is 729 cm³

Step-by-step explanation:

FIND B ONLY
WILL GET BRAINLIEST ​

Answers

Answer:

the answer is RATIONAL

Step-by-step explanation:

why u ask

becasue the number is less than 1

please mark brainiest

If each of the numbers in the following data set were multiplied by 12, what
would be the median of the data set?
28, 58, 20, 14, 18, 71, 36

Answers

Answer:

answer: 336!!

Step-by-step explanation:

have a good day!

1. Find the least common multiple of x² + x-12 and x² + 2x - 15

Answers

Least Common Multiple = (x-3) (x+5) (x+4)

Step-by-step explanation:

First we solve for x² + x-12

Factorise

=> x² + 4x - 3x - 12

Taking common

=> x ( x+4 ) - 3 (x+4 )

=> (x-3) (x+4)

Now we will solve for x² + 2x - 15

Factorise

=> x² + 5x - 3x - 15

Taking common

=> (x-3) (x+5)

we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .

Ans. Lest common multiples are = (x-3) (x+5) and (x+4)

(I will mark brainliest) Will 3/8 + 2/8 be closer to 1/2 or 1? How do you know?

Answers

Answer:

1/2

Step-by-step explanation:

3/8 + 2/8 is 5/8, 1/2 is equal to 4/8, so 5/8 is only 1/8 away from 1/2 while 5/8 is also 3/8 away from 1 or 8/8 therefore, it is closer to 1/2

During a sale the regular price of an item is reduced by 20 percent if the sale price is $600 what is the regular price

Answers

The regular price is $750

Find the arc length of the circle with a central angle of 30 degrees and a radius 12. Leave the answer in terms of π.

Answers

[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]

If the tax on a $25 shirt is 10%, what would the final cost be?

Answers

Answer:  $27.5

Step-by-step explanation:

10 percent of 25 is 2.5 (which is the tax). We just add that to the cost of the shirt and we get the final cost of $27.5.

An insurance firm wants to estimate the percentage of senior citizens in a small town with approximately 2,534 residents. it asks a group of 85 randomly selected people in the town about their age.

select the statement that is true.

a. the sample is 2,534 people. the population is 85 people.

b. the sample is 85 people. the population is 2,449 people.

c. the sample is 85 people. the population is 2,534 people.

d. none of the answer choices are true.

Answers

Using sampling concepts, it is found that the correct statement is given by:

c. the sample is 85 people. the population is 2,534 people.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of 85 people, which is the sample, is taken from the entire population of 2,534 people, hence option c is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

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PLEASE HELP MEEEEE I DONT LIKE PI

Answers

Answer:

I did the work and uploaded the picture i hope it helped!!

Why is 10^15/10^4 equal to 10^11

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 10¹⁵/10⁴ equals 10¹¹.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 10¹⁵/10⁴ can be simplified as,

[tex]\dfrac{10^{15}}{10^4}\\\\= 10^{15} \cdot 10^{-4}\\\\= 10^{15-4}\\\\=10^{11}[/tex]

Hence, the value of the expression 10¹⁵/10⁴ equals 10¹¹.

Learn more about Expression:

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